Given △ABC with coordinates A(1, 3), B(4, 5), and C(5, 2), what are the coordinates of △AʹBʹCʹ after the glide reflection described by T⟨−1, 1⟩° Ry-axis?

Answers

Answer 1

Answer:

A' = ( 0,4 )

B' = ( -3,6 )

C' = ( -4,3 )

Step-by-step explanation:

Answer 2

Transformation involves changing the coordinates of a shape.

The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and  [tex]C' = ( -4,3 )[/tex]

The coordinates of triangle ABC is given as:

[tex]A = (1,3)[/tex]

[tex]B = (4,5)[/tex]

[tex]C = (5,2)[/tex]

The glide reflection is given as: T⟨−1, 1⟩° Ry-axis

So, we start by translating the shape by (x - 1, y + 1).

The coordinate ABC becomes

[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]

[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]

[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]

Next, we reflect the coordinates across the y-axis.

The rule of this reflection is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A' = ( 0,4 )[/tex]

[tex]B' = ( -3,6 )[/tex]

[tex]C' = ( -4,3 )[/tex]

Read more about transformation at:

https://brainly.com/question/1616371


Related Questions

Substation method
3x + 4y=-22
7x+y=7

Answers

Answer:

(2, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Subtract 7x on both sides:                    y = 7 - 7x

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Substitute in y:                        3x + 4(7 - 7x) = -22Distribute 4:                             3x + 28 - 28x = -22Combine like terms:                -25x + 28 = -22Subtract 28 on both sides:     -25x = -50Divide -25 on both sides:       x = 2

Step 5: Solve for y

Define equation:                     7x + y = 7Substitute in x:                        7(2) + y = 7Multiply:                                   14 + y = 7Subtract 14 on both sides:      y = -7

A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?

Answers

Answer:

what subjet is this

Step-by-step explanation:

Identify the correct corresponding parts

Answers

Answer:

The correct corresponding part is;

[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])

Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC

Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]

Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]

Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27

Answers

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

please answer this 4 me , 50 points <3

Answers

The answers are - 5x+8y and 5(4)+2(8)=36
Explanation
To solve the equation, you would substitute x and y for 5 and 8.
-Ex: 5(4)+8(2)=36
The numbers in the parentheses get multiplied by the numbers on the outside. Making ‘5(4)’=20 and ‘8(2)’=16
So 5(4)+8(2)=36

5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }​

Answers

Answer:

C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.

In a bike race Tim rode 7 1/4 miles his teammate Bill rode 8 7/8 how many miles did they ride in all​

Answers

so you add the miles together and you would get 16 1/8 you add the whole numbers and get 15. you have to change the denominator to equal the same thing so it would change to 2/8 instead of 1/4 and then add it up and get 9/8 so you add a whole number and left with 1/8 and the answer is 16 1/8

what is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m

Answers

Step-by-step explanation:

35

Solve for x!!!!!.....

Answers

X=10.5
8/6=14/x
Cross multiply
8x=84
Divide 8 to both sides
X=10.5

help me solve please

Answers

Answer:

x=78; x=56

Step-by-step explanation:

For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:

102+x=180

Subtract 102 from both sides:

x=78

For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:

34+x=90

Subtract 34 from both sides:

x=56

what is the equation for the following function *remember that the slope is 7/2​

Answers

f(x) = 7/2x - 2

Step-by-step explanation:

f(x) = mx + b

m being slope

b being y intercept

Can somebody please help me with this.!

Answers

Answer:

1260

Step-by-step explanation:

First you will need to find the amount of sides of the polygon:

(After looking it is 9)

Each angle of the side of a nonagon is 140 degrees.

Multiply by 9 since you can make 9 triangles:

140 x 9 = 1260

an easier way to do this is to look at the number of sides (9) and subtract it by 2 (7). Then you can just multiply that number by 180
this works for every polygon

please help me with this its timed first person to give me correct answer gets 25 points

Answers

Answer:

8. 14 for the third question.

9. 18 for the forth question.

Step-by-step explanation:

the third and forth orange equations.

HELP I NEED HELP IMIDIETLY SORRY I CANT SPELL IM SO CONFUSED

Answers

Answer:

I'm pretty sure you need more information, but I could be wrong

Step-by-step explanation:

Answer:

it's 74

Step-by-step explanation:

A and C are supplementary, that means that they add up to 180.

We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.

The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP. ​

Answers

Answer:

19.5416g

Step-by-step explanation:

5+7 =12

33.5/12 = 2.7916

2.7916 x 7 = 19.5416g

Step-by-step explanation:

pleaseeeee helppppppp

Answers

Answer:

This is too confusing

Step-by-step explanation:

I don't know how to answer this properly sorry

Which value of x is a solution of the inequality 25x - 100 < 250?

Answers

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The solution of the given inequality is set of all x such that x < 14.

What are Inequalities?

Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.

There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.

Linear inequalities will have the highest degree of the variable equals 1.

Given a linear inequality,

25x - 100 < 250

Adding both sides of the inequality with 100,

25x - 100 + 100 < 250 + 100

25x < 350

Dividing both sides of the inequality by 25,

25x / 25 < 350 / 25

x < 14

Hence the value of x in the inequality is all the values of x which are less than, < 14.

To learn more about Inequalities, click on the link given here :

https://brainly.com/question/20383699

#SPJ2

Find the y intercept of the graph

Answers

Answer:

i believe the y intersept is -4

For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46

Answers

I think that the answer is c

Caleb's phone has a 45% charge. Each minute (t) that passes, the battery charge decreases 3%. Write
an equation to represent the percentage of battery charge after t minutes.

Answers

Answer:

f(t) = -.03t + 0.45

Step-by-step explanation:

Find each function value f(-7) if f(x) = 3x + 6

Answers

Answer:

-15

Step-by-step explanation:

3*-7=-21+6=-15

Answer:

Step-by-step explanation:

first multiply -7 and 3 since -7 is the element of the function (x)

then you should get (-21)

now add 6 and you answer should be (-15)

Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 ​ pint of ice cream, how many guests can Taylor serve?

Answers

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

9 1/2 ÷ 3/5

19/2 * 5/3

95 / 6

= 15.8 guest

Hence, greatest Number of guest that can be served = 15

Need help i will mark brainliest

Answers

Answer:

6 sq. in

Step-by-step explanation:

To find area of triangle: base* height *1/2

height needs to be at a 90 degree angle from the base.

In this example, the base is 3 in, and the height is 4 in.

Plug these two into the equation

3 * 4 * 1/2 = 12 * 0.5 = 6

Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46

Answers

Answer:

A  B  D

Step-by-step explanation:

A 38+4=42

B 4+15=19

C 18= 20-2

D 32= 36-4

E 52-6=46

Help and explain please?

Answers

Square root of 160.

Use Pythagorean’s Theorem.
a^2+b^2=c^2
(12)^2+(4)^2=c^2
144+16=c^2
160=c^2
C=square root of 160

(-3, 11) a solution to the systems of equations: x – 3y = -36 and 3x + 4y = 48
true or false

Answers

Answer:

TRUE and FALSE  (please look at step-by-step)

Step-by-step explanation:

How to know if it's true or false, you just simply plug in the given numbers to the x and y values.

x = -3

y = 11

for the x - 3y = -36 equation:

-3 -3(11) = -36

-3 - 33 = -36

This equation is true.

for the 3x + 4y = 48 equation:

3(-3) + 4(11) = 48

-9 + 44 = 35

This equation is false.

This equation is false

A $50 shirt is on sale for
$42. What percent does the
customer save?

Answers

He is saving 16%

You can use a ratio to find things like this because it’s so simple

Which point represents the ordered pair (-1.1,0.2)?
Point B
Point A
Point C
A
.
B
Point D
0

Answers

Answer: is point B

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is B

y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.

Does anyone know the answer to these?? Please answer quickly and please don’t joke around .

Answers

they are already simplified what is the question
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